flux_burgers.h

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//
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// Copyright (C) 2023 - 2026 by the ryujin authors
//
 
#pragma once
 
#include <ryujin/base/compile_time_options.h>
#include <ryujin/scalar_conservation/flux.h>
 
namespace ryujin
{
  namespace Fluxes
  {
    class Burgers : public Flux
    {
    public:
      Burgers(const std::string &subsection)
          : Flux("burgers", subsection)
      {
        flux_formula_ = "f(u)={0.5u^2}";
      }
 
 
      double value(const double state,
                   const unsigned int /*direction*/) const override
      {
        return 0.5 * state * state;
      }
 
 
      double gradient(const double state,
                      const unsigned int /*direction*/) const override
      {
        return state;
      }
    };
  } // namespace Fluxes
} // namespace ryujin